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Finding the Fourth Proportional to 3,459.86, 5,190.62 and 994.63

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Solution

The fourth proportional to 3,459.86, 5,190.62 and 994.63 is: 1,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.86 : 5,190.62 = 994.63 : x
  2. Step 2: Convert to fraction form
    3,459.86/5,190.62 = 994.63/x
  3. Step 3: Cross multiply
    3,459.86x = 5,190.62 × 994.63
  4. Step 4: Simplify right side
    3,459.86x = 5,162,746.37
  5. Step 5: Solve for x
    x = 5,162,746.37/3,459.86
  6. Step 6: Final answer
    x = 1,492.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.